A manager must decide on the mix of products to produce for the coming week. Product A requires three minutes per unit for molding, two minutes per unit for painting, and one minute for packing. Product B requires two minutes per unit for molding, three minutes for painting, and two minutes per unit for packing. There will be $600$ minutes available for molding, $600$ minutes for painting, and $480$ minutes for packing. Both products have contributions of $$1\mathrm{.}50$ per unit. Answer the following questions; base your work on the solution panel provided. What combination of A and B will maximize contribution?

$($b$)$ What is the maximum possible contribution?

$[$ Select $]$

$($c$)$ Are any resources not fully used up